Of particular importance to many homeowners, is the fact that wool simply will not burn. It will char, so if something like a cigarette is dropped onto it, you'll have a mark, but no danger of fire. Also, while most carpeting is discouraged around fireplaces, wool carpet is a safe option for placement near a hearth, because of this high flame resistance.
Of the synthetic options, you have such fibers as nylon, polyester, olefin, and triexa. Each of these fibers has its own set of characteristics, and one may be better for you than all the others are. For instance, nylon is strong, durable, and stain resistant, and is one of the most popular floor coverings on the market. Olefin is more resistant to fading and moisture, and is often used in spaces leading directly in from outdoor areas.
Be sure to speak with your flooring professional about your specific needs, so that we can pair you with the perfect floor covering.